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On the Cauchy problem of a two-component b-family equation
A two-component b-family equation well-posedness blow-up scenario
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2011/2/25
In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato’s semigroup theory. Then, we ...
Factorizations and Reductions of Order in Quadratic and other Non-recursive Higher Order Difference Equations
non-recursive form symmetry factorization semi-invertible map criterion
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2011/3/4
A higher order difference equation may be generally defined in an arbitrary nonempty set S as:
fn(xn, xn−1, . . . , xn−k) = gn(xn, xn−1, . . . , xn−k)where fn, gn: Sk+1→ S are...
On L_p theory for Zakai equation with discontinuous observation process
L_p theory Zakai equation discontinuous observation process
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2011/2/28
The existence and uniqueness in fractional Sobolev spaces of the Cauchy problem to a stochastic parabolic integro-differential equation is investi-gated. A model problem with coefficients independent ...
Effective Willis constitutive equations for periodically stratified anisotropic elastic media
Effective Willis constitutive equations periodically stratified anisotropic elastic media
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2011/3/4
A method to derive homogeneous effective constitutive equations for periodically layered
elastic media is proposed. The crucial and novel idea underlying the procedure is that the
coefficients of th...
Displayed equations for Galois representations
Displayed equations Galois representations
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2011/2/24
The Galois representation associated to a p-divisible group over a noetherian complete local domain with perfect residue field is described in terms of its Dieudonn´e display.
Algebraic equations on the adelic closure of a Drinfeld module
Algebraic equations adelic closure Drinfeld module
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2011/1/19
Let k be a field of positive characteristic and K = k(V ) a function field of a variety V over k and let AK be a ring of ad´eles of K with respect to a cofinite set of the places on K correspond...
Modulated wave trains in generalized Kuramoto-Sivashinksi equations
modulation wave trains periodic travelling waves
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2011/1/19
This paper is concerned with the stability of periodic wave trains in a generalized Kuramoto-Sivashinski (gKS) equation. This equation is useful to describe the weak instability of low frequency pertu...
Well-balanced Levy Driven Ornstein-Uhlenbeck Processes
semimartingale Ornstein-Uhlenbeck process Levy process in nitely divisible distribution
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2011/1/18
In this paper we introduce the well-balanced Levy driven Ornstein-Uhlenbeck process as a moving average process of the form Xt = R exp(jtuj)dLu.
Weak solutions to lubrication equations in the presence of strong slippage
Weak solutions lubrication equations presence of strong slippage
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2011/1/18
The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hy-drophobyzed substrates and take accou...
对溶质运移模型的并行化处理
对流扩散方程 并行算法 偏微分方程
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2012/11/26
在了解和广泛收集前人研究资料的基础上，将并行算法引入到求解首采区卤水动态二维模型中关于溶质运移的问题中.把溶质运移方程按时间分裂法分成5个子方程，针对这5个子方程讨论了全域精细积分和子域精细积分的并行算法，给出了对流和扩散方程的子域精细积分并行算法.子域精细积分考虑了精细积分法高精度的特点，又避免了全域积分的大矩阵运算，其精度优于单点精细积分法.
Boussinesq-like multi-component lattice equations and multi-dimensional consistency
Boussinesq-like multi-component lattice equations multi-dimensional
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2010/11/10
We consider quasilinear, multi-variable, constant coefficient, lattice equations defined on the edges of the elementary square of the lattice, modeled after the lattice modified Boussinesq (lmBSQ) eq...
The tyger phenomenon for the Galerkin-truncated Burgers and Euler equations
The tyger phenomenon Galerkin-truncated Burgers Euler equations
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2010/11/10
It is shown that the solutions of inviscid hydrodynamical equations with suppression of all spatial Fourier modes having wavenumbers in excess of a threshold $\kg$ exhibit unexpected features. The stu...
Log-Harnack Inequality for Stochastic Burgers Equations and Applications
stochastic Burgers equation log-Harnack inequality strong Feller property
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2010/12/14
By proving an L2-gradient estimate for the corresponding Galerkin approximations,the log-Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As a...
Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation
Thin film equation local bifurcation analysis source-type and blow-up similarity solutions
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2010/12/14
Countable families of global-in-time and blow-up similarity sign-changing patterns of the Cauchy problem for the fourth-order thin film equation (TFE–4) ut = −∇ · (|u|n∇u) in RN × R...
Spectra of the Gurtin-Pipkin type equations
Spectra Gurtin-Pipkin type equations
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2010/12/14
We study the spectra of certain integro-differential equations aris-ing in applications. Under some conditions on the kernel of the integral operator, we describe the non-real part of the spectrum.MSC...